A Symplectic Manifold Which Can't Be Fully Filled
Explore a groundbreaking lecture from the Western Hemisphere Virtual Symplectic Seminar featuring Richard Hind from Notre Dame. Delve into the intricacies of a unique toric domain in R^4 with smooth boundary, which, despite being unbounded as a toric domain, is symplectomorphic to a bounded set. Discover why this domain cannot be the interior of any compact symplectic manifold with smooth boundary and how packing stability fails dramatically. Examine the implications of this finding, including the domain's inability to admit a volume filling symplectic embedding from any finite disjoint union of bounded domains in R^4 with piecewise smooth boundaries. Gain insights into the obstructions derived from the subleading asymptotics of the ECH capacities in this joint work with Dan Cristofaro-Gardiner. Enhance your understanding of symplectic geometry and its cutting-edge developments in this hour-long presentation.